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Finding the Fourth Proportional to 227.64, 314.28 and 150.24

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Solution

The fourth proportional to 227.64, 314.28 and 150.24 is: 207.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.64 : 314.28 = 150.24 : x
  2. Step 2: Convert to fraction form
    227.64/314.28 = 150.24/x
  3. Step 3: Cross multiply
    227.64x = 314.28 × 150.24
  4. Step 4: Simplify right side
    227.64x = 47,217.43
  5. Step 5: Solve for x
    x = 47,217.43/227.64
  6. Step 6: Final answer
    x = 207.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.